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Finding the Fourth Proportional to 136,957.05, 205,455.02 and 42,194.93

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Solution

The fourth proportional to 136,957.05, 205,455.02 and 42,194.93 is: 63,298.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,957.05 : 205,455.02 = 42,194.93 : x
  2. Step 2: Convert to fraction form
    136,957.05/205,455.02 = 42,194.93/x
  3. Step 3: Cross multiply
    136,957.05x = 205,455.02 × 42,194.93
  4. Step 4: Simplify right side
    136,957.05x = 8,669,158,948.80
  5. Step 5: Solve for x
    x = 8,669,158,948.80/136,957.05
  6. Step 6: Final answer
    x = 63,298.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.